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variants of this functions
PolyLog




Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > PolyLog[2,z] > Identities > Functional identities > Involving five dilogarithms





http://functions.wolfram.com/10.07.17.0018.01









  


  








Input Form





L[z] + L[w] - L[z w] - L[(z (1 - w))/(1 - z w)] - L[(w (1 - z))/(1 - z w)] == 0 /; (L[z] == PolyLog[2, z] + (1/2) Log[z] Log[1 - z] /; (Abs[z] < 1 && 0 < w < 1) || (Abs[w] < 1 && 0 < z < 1) || (z < 1 && 0 < w < 1) || (w < 1 && 0 < z < 1) || (z w < 1 && z > 0 && w > 0) || (z > 1 && w > 1))








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29